Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions

Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions

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Article ID: iaor20115701
Volume: 217
Issue: 22
Start Page Number: 9313
End Page Number: 9321
Publication Date: Jul 2011
Journal: Applied Mathematics and Computation
Authors: , ,
Keywords: Newton method, Lagrangian methods
Abstract:

In this paper, using the Newton’s formula of Lagrange interpolation, we present a new proof of the anisotropic error bounds for Lagrange interpolation of any order on the triangle, rectangle, tetrahedron and cube in a unified way.

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